OUTPUT of run 4 of at most 20:
```
Attention differences are absolute probability-mass differences.
No hidden states or model outputs are computed.

OVERALL ATTENTION CHANGE
boundary mean TV 0.21684473489100733 max TV 0.9507734179496765 sum-head guess delta, first 12 prompts 0.41809689005215966
answer_word mean TV 0.15549302354661954 max TV 0.7868046760559082 sum-head guess delta, first 12 prompts 0.720132624109586
final mean TV 0.28961268385561806 max TV 0.9590485095977783 sum-head guess delta, first 12 prompts 3.302003905177117
prefix_mean mean TV 0.17476484539252446 max TV 0.6961116790771484 sum-head guess delta, first 12 prompts 1.4707177622286007

20 LARGEST FINAL-QUERY GUESS-ATTENTION CHANGES
L H mean_A mean_B delta wrong_delta right_delta positive_prompts/12
11 2 0.743062 0.064737 +0.6783257 +0.6804276 +0.6762238 12/12
  delta by query: boundary=+0.001368 answer_word=-0.000641 final=+0.678326 prefix_mean=+0.226638
  delta by task: geo_MC=+0.822254 math_MC=+0.871735 geo_free=+0.539948 math_free=+0.142029
 5 3 0.630091 0.128709 +0.5013822 +0.4950740 +0.5076904 12/12
  delta by query: boundary=+0.002705 answer_word=+0.065284 final=+0.501382 prefix_mean=+0.191364
  delta by task: geo_MC=+0.635834 math_MC=+0.652679 geo_free=+0.378601 math_free=+0.052666
 5 2 0.486753 0.053710 +0.4330428 +0.4290543 +0.4370313 12/12
  delta by query: boundary=+0.001734 answer_word=+0.360500 final=+0.433043 prefix_mean=+0.266220
  delta by task: geo_MC=+0.594017 math_MC=+0.540955 geo_free=+0.307755 math_free=+0.020559
10 2 0.372609 0.017412 +0.3551972 +0.3586822 +0.3517122 12/12
  delta by query: boundary=+0.008224 answer_word=+0.046654 final=+0.355197 prefix_mean=+0.134791
  delta by task: geo_MC=+0.433871 math_MC=+0.384563 geo_free=+0.101105 math_free=+0.393211
12 1 0.316116 0.012990 +0.3031263 +0.3003146 +0.3059381 12/12
  delta by query: boundary=+0.001511 answer_word=+0.005239 final=+0.303126 prefix_mean=+0.104864
  delta by task: geo_MC=+0.342381 math_MC=+0.326879 geo_free=+0.380051 math_free=+0.100189
 9 0 0.185038 0.026964 +0.1580744 +0.1578992 +0.1582495 12/12
  delta by query: boundary=+0.071068 answer_word=+0.031168 final=+0.158074 prefix_mean=+0.087657
  delta by task: geo_MC=+0.123833 math_MC=+0.158456 geo_free=+0.216278 math_free=+0.167591
16 3 0.148474 0.007226 +0.1412484 +0.1429173 +0.1395795 12/12
  delta by query: boundary=+0.000879 answer_word=+0.006470 final=+0.141248 prefix_mean=+0.050123
  delta by task: geo_MC=+0.228858 math_MC=+0.162060 geo_free=+0.017171 math_free=+0.048484
17 2 0.129056 0.006736 +0.1223202 +0.1227029 +0.1219375 12/12
  delta by query: boundary=+0.000445 answer_word=+0.000598 final=+0.122320 prefix_mean=+0.041327
  delta by task: geo_MC=+0.129693 math_MC=+0.100085 geo_free=+0.223959 math_free=+0.050406
 9 3 0.099762 0.218987 -0.1192245 -0.1054891 -0.1329600 5/12
  delta by query: boundary=+0.002224 answer_word=+0.002164 final=-0.119225 prefix_mean=-0.035709
  delta by task: geo_MC=+0.028145 math_MC=-0.029190 geo_free=-0.448395 math_free=-0.264862
 9 1 0.148783 0.049030 +0.0997531 +0.1009547 +0.0985514 12/12
  delta by query: boundary=+0.022519 answer_word=+0.018145 final=+0.099753 prefix_mean=+0.051307
  delta by task: geo_MC=+0.106277 math_MC=+0.134861 geo_free=+0.072174 math_free=+0.044067
13 3 0.100105 0.005718 +0.0943868 +0.0930125 +0.0957612 12/12
  delta by query: boundary=+0.001537 answer_word=+0.000832 final=+0.094387 prefix_mean=+0.031842
  delta by task: geo_MC=+0.083649 math_MC=+0.062968 geo_free=+0.202404 math_free=+0.070683
 9 2 0.091095 0.011202 +0.0798930 +0.0784197 +0.0813662 12/12
  delta by query: boundary=+0.015978 answer_word=+0.012619 final=+0.079893 prefix_mean=+0.035483
  delta by task: geo_MC=+0.078336 math_MC=+0.077906 geo_free=+0.117832 math_free=+0.049042
10 0 0.071649 0.003148 +0.0685006 +0.0683772 +0.0686241 12/12
  delta by query: boundary=+0.010054 answer_word=+0.012819 final=+0.068501 prefix_mean=+0.029523
  delta by task: geo_MC=+0.097377 math_MC=+0.091076 geo_free=+0.021580 math_free=+0.012518
17 0 0.056824 0.003842 +0.0529815 +0.0565382 +0.0494248 12/12
  delta by query: boundary=+0.001819 answer_word=+0.001864 final=+0.052981 prefix_mean=+0.018728
  delta by task: geo_MC=+0.027972 math_MC=+0.034141 geo_free=+0.175961 math_free=+0.017703
 5 1 0.755977 0.807860 -0.0518826 -0.0627683 -0.0409969 0/12
  delta by query: boundary=+0.000000 answer_word=+0.003398 final=-0.051883 prefix_mean=-0.016115
  delta by task: geo_MC=-0.018799 math_MC=-0.012573 geo_free=-0.241211 math_free=-0.007340
12 0 0.055720 0.005569 +0.0501513 +0.0501429 +0.0501598 12/12
  delta by query: boundary=+0.000034 answer_word=+0.000147 final=+0.050151 prefix_mean=+0.016875
  delta by task: geo_MC=+0.070892 math_MC=+0.055590 geo_free=+0.020844 math_free=+0.027100
12 2 0.047465 0.002055 +0.0454096 +0.0435383 +0.0472809 12/12
  delta by query: boundary=+0.010312 answer_word=+0.001478 final=+0.045410 prefix_mean=+0.019555
  delta by task: geo_MC=+0.028438 math_MC=+0.040646 geo_free=+0.101223 math_free=+0.033066
12 3 0.049416 0.006339 +0.0430762 +0.0424917 +0.0436606 12/12
  delta by query: boundary=+0.000276 answer_word=+0.000022 final=+0.043076 prefix_mean=+0.014526
  delta by task: geo_MC=+0.031820 math_MC=+0.038339 geo_free=+0.073433 math_free=+0.044704
10 3 0.060542 0.021615 +0.0389268 +0.0401262 +0.0377274 8/12
  delta by query: boundary=+0.024573 answer_word=+0.032350 final=+0.038927 prefix_mean=+0.031195
  delta by task: geo_MC=+0.063601 math_MC=+0.059824 geo_free=-0.009094 math_free=-0.004196
11 3 0.078247 0.041884 +0.0363630 +0.0391108 +0.0336151 10/12
  delta by query: boundary=+0.001411 answer_word=+0.002155 final=+0.036363 prefix_mean=+0.013351
  delta by task: geo_MC=+0.071556 math_MC=+0.063927 geo_free=+0.023781 math_free=-0.076569

STRONGEST BASELINE READERS OF GUESS AT FINAL QUERY
5 1 mean attention 0.781919 A-B -0.0518826
11 2 mean attention 0.4039 A-B 0.6783257
5 3 mean attention 0.3794 A-B 0.5013822
5 2 mean attention 0.270231 A-B 0.4330428
10 2 mean attention 0.195011 A-B 0.3551972
12 1 mean attention 0.164553 A-B 0.3031263
9 3 mean attention 0.159374 A-B -0.1192245
9 0 mean attention 0.106001 A-B 0.1580744
9 1 mean attention 0.098907 A-B 0.0997531
16 3 mean attention 0.07785 A-B 0.1412484
17 2 mean attention 0.067896 A-B 0.1223202
11 3 mean attention 0.060066 A-B 0.036363

SOURCE-ATTRIBUTION CONTROL: USER GUESS MINUS OTHER RESPONDENT
12 2 A 0.135162 B 0.002977 A-B 0.132185 per_prompt [-0.3711 -0.2577  0.5307  0.6268]
12 1 A 0.088806 B 0.005051 A-B 0.0837555 per_prompt [-0.0798  0.0144  0.1396  0.2607]
9 3 A -0.044312 B 0.018997 A-B -0.0633087 per_prompt [-0.3425 -0.537   0.387   0.2393]
17 2 A 0.04985 B 0.000111 A-B 0.0497398 per_prompt [-0.0355 -0.051   0.1516  0.1339]
10 2 A -0.02729 B 0.00771 A-B -0.0349998 per_prompt [-0.5849 -0.1922  0.1492  0.4879]
9 0 A -0.036255 B -0.005234 A-B -0.0310211 per_prompt [-0.3589 -0.3475  0.2827  0.2997]
13 3 A 0.028419 B 5.8e-05 A-B 0.0283613 per_prompt [-0.1018 -0.044   0.1073  0.1519]
11 2 A 0.030571 B 0.010826 A-B 0.0197449 per_prompt [0.0392 0.038  0.0002 0.0016]
9 1 A 0.022964 B 0.00676 A-B 0.0162048 per_prompt [-0.1187 -0.0013  0.0309  0.1539]
17 0 A 0.013393 B -3.6e-05 A-B 0.0134296 per_prompt [ 0.0234 -0.0343  0.0491  0.0156]
5 3 A -0.011772 B 0.000427 A-B -0.0121994 per_prompt [-0.0214 -0.0067 -0.0182 -0.0025]
12 0 A -0.011368 B 0.000128 A-B -0.0114956 per_prompt [-0.0134 -0.0838  0.0468  0.0045]
17 1 A 0.009987 B 0.000204 A-B 0.0097828 per_prompt [ 0.026  -0.01    0.0329 -0.0099]
11 3 A 0.010895 B 0.003901 A-B 0.0069942 per_prompt [0.006  0.0144 0.0026 0.0049]

MC WRONG-GUESS PROMPTS: ATTENTION TO GUESSED OPTION MINUS TRUE OPTION
16 3 A 0.106801 B 0.000506 A-B 0.106295
17 2 A 0.05902 B -0.020117 A-B 0.0791377
13 3 A 0.030907 B -0.02002 A-B 0.0509275
12 1 A 0.035442 B -0.000128 A-B 0.0355701
17 0 A 0.016275 B -0.003215 A-B 0.0194909
9 3 A 0.001821 B -0.017028 A-B 0.0188489
10 2 A -0.008192 B -0.022996 A-B 0.0148044
14 2 A -0.00086 B 0.012963 A-B -0.0138228
12 3 A 0.014507 B 0.000771 A-B 0.0137362
7 2 A 0.01505 B 0.002668 A-B 0.012382
11 2 A 0.003112 B -0.006739 A-B 0.0098504
12 2 A 0.008133 B -0.001516 A-B 0.0096485

ALL HEADS: FINAL-QUERY MEAN GUESS DELTA / SOURCE-CONTRAST DELTA
0 h0:-0.000451/-0.000009 h1:-0.000009/+0.000001 h2:-0.000009/+0.000005 h3:-0.000079/+0.000005
1 h0:-0.000000/+0.000000 h1:-0.000134/-0.000000 h2:-0.000132/+0.000159 h3:+0.000000/+0.000000
2 h0:+0.000999/-0.000005 h1:+0.000193/+0.000004 h2:+0.001388/+0.000018 h3:+0.000000/-0.000127
3 h0:+0.000179/-0.000069 h1:+0.000008/+0.000006 h2:-0.000042/-0.000016 h3:+0.000028/+0.000005
4 h0:+0.004118/-0.000674 h1:+0.000010/-0.000123 h2:+0.001829/+0.000353 h3:+0.002634/+0.000881
5 h0:+0.005302/+0.000562 h1:-0.051883/-0.000293 h2:+0.433043/-0.001352 h3:+0.501382/-0.012199
6 h0:+0.008541/+0.000441 h1:+0.010468/+0.001833 h2:+0.005443/+0.003401 h3:+0.007205/+0.001453
7 h0:+0.022886/+0.003113 h1:+0.007997/+0.001211 h2:+0.016474/+0.006685 h3:+0.005300/+0.001608
8 h0:+0.001418/-0.000363 h1:+0.011828/+0.000182 h2:+0.001239/+0.000728 h3:+0.010271/+0.000932
9 h0:+0.158074/-0.031021 h1:+0.099753/+0.016205 h2:+0.079893/-0.005842 h3:-0.119225/-0.063309
10 h0:+0.068501/-0.000692 h1:+0.000593/+0.000521 h2:+0.355197/-0.035000 h3:+0.038927/+0.001743
11 h0:-0.010576/-0.000942 h1:-0.007947/-0.003014 h2:+0.678326/+0.019745 h3:+0.036363/+0.006994
12 h0:+0.050151/-0.011496 h1:+0.303126/+0.083755 h2:+0.045410/+0.132185 h3:+0.043076/+0.003777
13 h0:+0.022122/+0.002205 h1:+0.000425/-0.000049 h2:+0.003385/+0.000090 h3:+0.094387/+0.028361
14 h0:+0.000265/+0.000179 h1:+0.000245/+0.000229 h2:+0.005753/-0.004509 h3:+0.001077/+0.000019
15 h0:+0.003207/-0.000295 h1:+0.013007/-0.001181 h2:+0.003726/+0.001329 h3:+0.002534/+0.004658
16 h0:+0.001608/+0.000853 h1:+0.000240/-0.000085 h2:-0.000573/-0.000051 h3:+0.141248/+0.000396
17 h0:+0.052981/+0.013430 h1:+0.002405/+0.009783 h2:+0.122320/+0.049740 h3:+0.004552/+0.000187

```